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Towards a Reverse Newman's Theorem in Interactive Information Complexity | IEEE Conference Publication | IEEE Xplore

Towards a Reverse Newman's Theorem in Interactive Information Complexity


Abstract:

Newman's theorem states that we can take any public-coin communication protocol and convert it into one that uses only private randomness with only a little increase in c...Show More

Abstract:

Newman's theorem states that we can take any public-coin communication protocol and convert it into one that uses only private randomness with only a little increase in communication complexity. We consider a reversed scenario in the context of information complexity: can we take a protocol that uses private randomness and convert it into one that only uses public randomness while preserving the information revealed to each player? We prove that the answer is yes, at least for protocols that use a bounded number of rounds. As an application, we prove new direct sum theorems through the compression of interactive communication in the bounded-round setting. Furthermore, we show that if a Reverse Newman's Theorem can be proven in full generality, then full compression of interactive communication and fully-general direct-sum theorems will result.
Date of Conference: 05-07 June 2013
Date Added to IEEE Xplore: 16 September 2013
Electronic ISBN:978-0-7695-4997-2

ISSN Information:

Conference Location: Stanford, CA, USA

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